Two-dimensional thermal error compensation modeling for worktable of CNC machine tools

  • Xinyuan Wei
  • Enming MiaoEmail author
  • Hui Liu
  • Shanlin Liu
  • Suxin Chen


The conventional thermal error compensation for computer numerical control machine tools in ISO 230-3:2007 is based on a single positioned point on a worktable; this guideline ignores the thermal error differences of different locations across an entire worktable. As a result, a reduced compensation effect is achieved for the whole worktable, although the single-point compensation model generally provides high prediction accuracy. The 2D thermal error compensation method, which can greatly improve the compensation effect of the worktable, is proposed in this study. This method builds a 2D thermal error map model parallel to the worktable at each time point. The thermal error at any position on the workbench can be predicted accurately. Thus, this compensation method can significantly reduce the influence of thermal error differences on the compensation effect across the whole worktable. The thermal error prediction results and compensated experimental results show that the compensation effect of this new method is better than that of the conventional single-point method for the whole worktable.


CNC machine worktable 2D thermal error map model Least squares surface modeling 


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Funding information

This work is supported by the Key Project of the National Natural Science Fund of China (grant No. 51490660/51490661) and the National Natural Science Foundation of China (grant No. 51175142/E051102).

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Copyright information

© Springer-Verlag London Ltd., part of Springer Nature 2018

Authors and Affiliations

  • Xinyuan Wei
    • 1
  • Enming Miao
    • 2
    Email author
  • Hui Liu
    • 1
  • Shanlin Liu
    • 1
  • Suxin Chen
    • 3
  1. 1.School of Instrument Science and Opto-electronics EngineeringHefei University of TechnologyHefeiChina
  2. 2.School of Mechanical EngineeringChongqing University of TechnologyChongqingChina
  3. 3.School of Mechanical EngineeringHefei University of TechnologyHefeiChina

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